526_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

526_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 06Ch06.qxd 9/24/08 520 5:34 AM Page 520 CHAPTER 6 Stresses in Beams (Advanced Topics) MAXIMUM MOMENT BASED UPON ALUMINUM (2) (EQ. 6-17) 1 (150)(250)3 12 Area A3: I3 + (150)(250)(h1 sa 2 125) 213,597,000 mm4 IT I1 + 2I2 + I3 s2 Mh2n IT WOOD GOVERNS. (sa)allowIT h2n M2 17.3 kN # m 16.2 kN # m Mallow ; 297.35 * 106 mm4 MAXIMUM MOMENT BASED UPON THE WOOD (1) (EQ. 6-15) sw s1 Mh1 IT M1 (sw)allowIT h1 16.2 kN # m Beams with Inclined Loads y When solving the problems for Section 6.4, be sure to draw a sketch of he cross section showing the orientation of the neutral axis and the locations of the points where the stresses are being found. Problem 6.4-1 A beam of rectangular cross section supports an z inclined load P having its line of action along a diagonal of the cross section (see figure). Show that the neutral axis lies along the other diagonal. h C b P Solution 6.4-1 Location of neutral axis Iy hb3 12 Iz h2 Iy b2 See Figure 6-15b. b angle between the z axis and the neutral axis nn u angle between the y axis and the load P u a 180° tan u tan (a 180°) tan a Load P acts along a diagonal. b/2 h/2 tan a 3 Iz bh 12 b h (Eq. 6-23): tan b Iz Iy a h2 tan u h2 b2 b2 b ba b h ‹ The neutral axis lies along the other diagonal. QED ; tan u h b ...
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